10221200210101 has 2 divisors, whose sum is σ = 10221200210102. Its totient is φ = 10221200210100.

The previous prime is 10221200210083. The next prime is 10221200210107. The reversal of 10221200210101 is 10101200212201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7649378594001 + 2571821616100 = 2765751^2 + 1603690^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221200210101 - 2¹⁹ = 10221199685813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10221200210107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110600105050 + 5110600105051.

It is an arithmetic number, because the mean of its divisors is an integer number (5110600105051).

Almost surely, 2^{10221200210101} is an apocalyptic number.

It is an amenable number.

10221200210101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221200210101 is an equidigital number, since it uses as much as digits as its factorization.

10221200210101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10221200210101 its reverse (10101200212201), we get a palindrome (20322400422302).

The spelling of 10221200210101 in words is "ten trillion, two hundred twenty-one billion, two hundred million, two hundred ten thousand, one hundred one".